This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int c=1e5+5;
int n,k;
multiset<ll> nagy,kicsi;
ll ossz=0;
void ins(ll a){
if(nagy.size()<k) {ossz+=a; nagy.insert(a); return;}
ll nb=*nagy.begin();
if(nb>=a) {kicsi.insert(a); return;}
kicsi.insert(nb);
ossz-=nb;
nagy.erase(nagy.find(nb));
ossz+=a; nagy.insert(a);
}
void rem(ll a){
if(kicsi.find(a) != kicsi.end()){
kicsi.erase(kicsi.find(a)); return;
}
if(nagy.find(a) == nagy.end()) return;
ossz-=a;
nagy.erase(nagy.find(a));
if(!kicsi.empty()) {auto it=kicsi.end(); it--; ll b=*it; ossz+=b; nagy.insert(b); kicsi.erase(kicsi.find(b));}
}
vector<pair<int,ll>> adj[c];
ll dp[c][2];
ll ans[c];
ll dfs(int v, int p, ll len){
ll maxi=0;
for(pair<int,ll> x: adj[v]){
if(x.first != p){
ll cur=dfs(x.first,v,x.second);
if(cur>dp[v][1]) dp[v][1]=cur;
if(dp[v][1]>dp[v][0]) swap(dp[v][1],dp[v][0]);
if(cur>maxi){
swap(cur,maxi);
}
ins(cur);
}
}
return maxi+len;
}
void dfs2(int v, int p){
ans[v]=ossz;
for(pair<int,ll> x: adj[v]){
if(x.first != p){
ll A=dp[x.first][0],B=dp[x.first][1];
rem(dp[x.first][0]+x.second);
ins(dp[x.first][0]);
bool b=dp[v][0]==(dp[x.first][0]+x.second);
rem(!b?dp[v][0]:dp[v][1]);
ins((!b?dp[v][0]:dp[v][1])+x.second);
dp[x.first][1]=max((!b?dp[v][0]:dp[v][1])+x.second,dp[x.first][1]);
if(dp[x.first][0]<dp[x.first][1]) swap(dp[x.first][0],dp[x.first][1]);
dfs2(x.first,v);
dp[x.first][0]=A; dp[x.first][1]=B;
rem((!b?dp[v][0]:dp[v][1])+x.second);
ins(!b?dp[v][0]:dp[v][1]);
rem(dp[x.first][0]);
ins(dp[x.first][0]+x.second);
}
}
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
cin>>n>>k;
for(int i=1;i<n;i++){
int a,b,val;
cin>>a>>b>>val;
adj[a].push_back(make_pair(b,val));
adj[b].push_back(make_pair(a,val));
}
ins(dfs(1,0,0));
dfs2(1,0);
for(int i=1;i<=n;i++){
cout << ans[i] << '\n';
}
}
Compilation message (stderr)
Main.cpp: In function 'void ins(ll)':
Main.cpp:13:19: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
13 | if(nagy.size()<k) {ossz+=a; nagy.insert(a); return;}
| ~~~~~~~~~~~^~
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